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48073409 is a prime number
BaseRepresentation
bin1011011101100…
…0101011000001
310100110101022122
42313120223001
544301322114
64434214025
71122421466
oct267305301
9110411278
1048073409
112515529a
1214124315
139c62507
14655566d
154348e8e
hex2dd8ac1

48073409 has 2 divisors, whose sum is σ = 48073410. Its totient is φ = 48073408.

The previous prime is 48073393. The next prime is 48073411. The reversal of 48073409 is 90437084.

48073409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47679025 + 394384 = 6905^2 + 628^2 .

It is a cyclic number.

It is not a de Polignac number, because 48073409 - 24 = 48073393 is a prime.

It is a super-3 number, since 3×480734093 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 48073411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (48073609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24036704 + 24036705.

It is an arithmetic number, because the mean of its divisors is an integer number (24036705).

Almost surely, 248073409 is an apocalyptic number.

It is an amenable number.

48073409 is a deficient number, since it is larger than the sum of its proper divisors (1).

48073409 is an equidigital number, since it uses as much as digits as its factorization.

48073409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 48073409 is about 6933.4990444941. The cubic root of 48073409 is about 363.6092922631.

The spelling of 48073409 in words is "forty-eight million, seventy-three thousand, four hundred nine".